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One or Two Ridges? An Exact Mode Separation Condition for the Gabor Transform

Meignen, Sylvain and Laurent, Nils and Oberlin, Thomas One or Two Ridges? An Exact Mode Separation Condition for the Gabor Transform. (2022) IEEE Signal Processing Letters, 29. 2507-2511. ISSN 1070-9908

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Official URL: https://doi.org/10.1109/LSP.2022.3226948


In this letter, we investigate the conditions for the separation of two pure tones from the spectrogram computed with a Gaussian window. For this purpose, we put forward necessary and sufficient conditions for the existence of spectrogram ridges associated with each signal. We then show how this condition easily extends to the case of parallel linear chirps, i.e., signals with constant amplitude, linear instantaneous frequency, and same chirp rate.

Item Type:Article
Additional Information:Thanks to the IEEE (Institute of Electrical and Electronics Engineers). This paper is available at : https://ieeexplore.ieee.org/document/9970392 “© 2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
French research institutions > Institut National de la Recherche en Informatique et en Automatique - INRIA (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Other partners > Université Grenoble Alpes - UGA (FRANCE)
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Deposited On:07 Feb 2023 12:48

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